The proposed book Generalized Gaussian Error Calculus addresses for the firsttime since 200 years a rigorous, complete and self-consistent revision of theGaussian error calculus. Since experimentalists realized that measurements ingeneral are burdened by unknown systematic errors, the classical, widespread used evaluation procedures scrutinizing the consequences of random errors alone turned out to be obsolete. As a matter of course, the error calculus to-be, treating random and unknown systematic errors side by side, should ensure the consistency and traceability of physical units, physical constants and physical quantities at large. The generalized Gaussian error calculus considers unknown systematic errors to spawn biased estimators. What's more, random errors are asked to conform to the idea of what the author calls well-defined measuringconditions. This approach features the properties of a building kit: any overall uncertainty turns out to be the sum of a contribution due to random errors, to be taken from a confidence interval as put down by Student, and a contribution due to unknown systematic errors, as expressed by an appropriate worst case estimation. Book on error calculation from a theoretical point of view, further developing the approach of Gauss Integrates mathematics and its applications to physical measurements Serves as a text for graduate students and a reference for researchers INDICE: Part I Basics of Metrology.- True Values and Traceability.- Modelsand Approaches.- Part II Non-Classical Error Calculus.- The New Uncertainties.- Treatment of Random Errors.- Treatment of Systematic Errors.- Part III Error Propagation.- Means and Means of Means.- Functions of Erroneous Variables.- Method of Least Squares.- Part IV Essence of Metrology.- Dissemination of Units.- Multiples and Sub-multiples.- Founding Pillars.- Part V Fitting of Straight Lines.- Preliminaries.- Straight Lines: Case (i).- Straight Lines: Case (ii).- Straight Lines: Case (iii).- Part VI Fitting of Planes.- Preliminaries.- Planes: Case (i).- Planes: Case (ii).- Planes: Case (iii).- Part VII Fitting of Parabolas.- Preliminaries.- Parabolas: Case (i).- Parabolas: Case (ii).- Parabolas: Case (iii).- Part VIII Non-Linear Fitting.- Series Truncation.- Transformation.
- ISBN: 978-3-642-03304-9
- Editorial: Springer
- Encuadernacion: Cartoné
- Páginas: 305
- Fecha Publicación: 01/10/2009
- Nº Volúmenes: 1
- Idioma: Inglés